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4303202442 = 2372113142923
BaseRepresentation
bin1000000000111110…
…11010100010001010
3102002220020100000020
410000133122202022
532303104434232
61551000321310
7211431421500
oct40037324212
912086210006
104303202442
111909055760
12a01173236
135376a1046
142cb71c670
151a2bb7e2c
hex1007da88a

4303202442 has 96 divisors (see below), whose sum is σ = 11274246144. Its totient is φ = 1081634400.

The previous prime is 4303202383. The next prime is 4303202459. The reversal of 4303202442 is 2442023034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78793 + ... + 121715.

It is an arithmetic number, because the mean of its divisors is an integer number (117440064).

Almost surely, 24303202442 is an apocalyptic number.

4303202442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4303202442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637123072).

4303202442 is an abundant number, since it is smaller than the sum of its proper divisors (6971043702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4303202442 is a wasteful number, since it uses less digits than its factorization.

4303202442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42984 (or 42977 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4303202442 is about 65598.7990896175. The cubic root of 4303202442 is about 1626.5369212467.

Adding to 4303202442 its reverse (2442023034), we get a palindrome (6745225476).

The spelling of 4303202442 in words is "four billion, three hundred three million, two hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 147 154 186 217 231 294 341 434 462 539 651 682 1023 1078 1302 1519 1617 2046 2387 3038 3234 4557 4774 7161 9114 14322 16709 33418 42923 50127 85846 100254 128769 257538 300461 472153 600922 901383 944306 1330613 1416459 1802766 2103227 2661226 2832918 3305071 3991839 4206454 6309681 6610142 7983678 9314291 9915213 12619362 14636743 18628582 19830426 23135497 27942873 29273486 43910229 46270994 55885746 65200037 69406491 87820458 102457201 130400074 138812982 195600111 204914402 307371603 391200222 614743206 717200407 1434400814 2151601221 4303202442